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Finding the Fourth Proportional to 4,177.17, 6,266.06 and 1,255.70

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Solution

The fourth proportional to 4,177.17, 6,266.06 and 1,255.70 is: 1,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.17 : 6,266.06 = 1,255.70 : x
  2. Step 2: Convert to fraction form
    4,177.17/6,266.06 = 1,255.70/x
  3. Step 3: Cross multiply
    4,177.17x = 6,266.06 × 1,255.70
  4. Step 4: Simplify right side
    4,177.17x = 7,868,291.54
  5. Step 5: Solve for x
    x = 7,868,291.54/4,177.17
  6. Step 6: Final answer
    x = 1,883.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.